\(\frac{3x-5}{2x+7}=\frac{4x+8}{5x-4}\)

\(\left(3x-5\right)\left(5x-4\right)=\left(4x+8\right)\left(2x+7\right)\)

\(15x^2-12x-10x+20=8x^2+28x+16x+56\)

\(15x^2-8x^2-12x-10x-28x-16x+20-56=0\)

\(7x^2-66x-36=0\)

bạn tự làm tiếp nha

(3x-5)/(2x+7)=(4x+8)/(5x-4)

<=>(3x-5)(5x-4)=(4x+8)(2x+7)

<=>15x-20=8x+56

<=>15x-8x=56+20

<=>7x=76

<=>x=76:7=76/7

\(\frac{3x-5}{2x+7}=\frac{4x+8}{5x-4}\)

\(\left(3x-5\right)\left(5x-4\right)=\left(4x+8\right)\left(2x+7\right)\)

\(3x.5x-4.3x-5.5x+5.4=4x.2x+7.4x+8.2x+8.7\)

\(15x^2-12x-10x+20=8x^2+28x+16x+56\)

\(15x^2-22x+20=8x^2+44x+56\)

\(15x^2-22x+20-8x^2-44x-56=0\)

\(7x^2-66x-36=0\)

\(3\left(2x-3\right)\left(3x+2\right)-2\left(x+4\right)\left(4x-3\right)+9x\left(4-x\right)=0\)

\(\Leftrightarrow x^2-5x+6=0\)

\(\Leftrightarrow\left(x^2-3x\right)+\left(-2x+6\right)=0\)

\(\Leftrightarrow\left(x-3\right)\left(x-2\right)=0\)

\(\Leftrightarrow\orbr{\begin{cases}x=3\\x=2\end{cases}}\)

xin lỗi toán lớp 8 thì mk chịu

\(3\left(6x^2-5x-6\right)-2\left(4x^2-13x-12\right)+36x-9x^2=0\)

\(10x^2-15x-18-8x^2+26x+24+36x-9x^2=0\)

\(-7x^2+47x+6=0\Leftrightarrow\orbr{\begin{cases}x=\frac{-47+\sqrt{2377}}{-14}\\x=\frac{-47-\sqrt{2377}}{-14}\end{cases}}\)

Bạn vô đó để viết lại đề nha!

Bạn gõ bằng công thức trực quan để được giúp đỡ nhanh hơn nhé, chứ mình nhìn thế không dịch được (Nhấp vào biểu tượng chữ M nằm ngang)

a) \(\left(3-x\right)\left(5x+10\right)=0\)

\(\left(3-x\right).5.\left(x+2\right)=0\)

\(\Rightarrow\orbr{\begin{cases}3-x=0\\x+2=0\end{cases}}\Rightarrow\orbr{\begin{cases}x=3\\x=-2\end{cases}}\)

vậy...

b) \(\left|5x+2\right|-4x=7\)

\(\left|5x+2\right|=7+4x\)

\(\Rightarrow\orbr{\begin{cases}5x+2=7+4x\\5x+2=-7-4x\end{cases}}\Rightarrow\orbr{\begin{cases}5x-4x=7-2\\5x+4x=-7-2\end{cases}}\)

\(\Rightarrow\orbr{\begin{cases}x=5\\9x=-9\end{cases}}\Rightarrow\orbr{\begin{cases}x=5\\x=-1\end{cases}}\)

vậy.... 

k nha 

a, \(\left(3-x\right)\left(5x+10\right)=0\)

\(\Rightarrow3-x=0\)   hoặc     \(5x+10=0\)

\(\Rightarrow x=3\)         hoặc          \(x=-2\)

\(\left|5x+2\right|-4x=7\)

\(\Rightarrow\left|5x+2\right|=7+4x\)

\(\Rightarrow\orbr{\begin{cases}5x+2=7+4x\\5x+2=-\left(7+4x\right)\end{cases}}\)

\(\Rightarrow\orbr{\begin{cases}5x-4x=7-2\\5x+2=-7-4x\end{cases}}\)

\(\Rightarrow\orbr{\begin{cases}x=5\\5x+4x=-7-2\end{cases}}\)

\(\Rightarrow\orbr{\begin{cases}x=5\\9x=-9\end{cases}}\)

\(\Rightarrow\orbr{\begin{cases}x=5\\x=-1\end{cases}}\)

\(a,\frac{1}{2}x+\frac{5}{2}=\frac{7}{2}x-\frac{3}{4}\)

\(\Leftrightarrow\frac{1}{2}x+\frac{5}{2}-\frac{7}{2}x=-\frac{3}{4}\)

\(\Leftrightarrow\frac{1}{2}x-\frac{7}{2}x+\frac{5}{2}=-\frac{3}{4}\)

\(\Leftrightarrow-3x+\frac{5}{2}=-\frac{3}{4}\)

\(\Leftrightarrow-3x=-\frac{13}{4}\)

\(\Leftrightarrow x=-\frac{13}{4}:(-3)=-\frac{13}{4}:\frac{-3}{1}=-\frac{13}{4}\cdot\frac{-1}{3}=\frac{13}{12}\)

\(b,\frac{2}{3}x-\frac{2}{5}=\frac{1}{2}x-\frac{1}{3}\)

\(\Leftrightarrow\frac{2}{3}x-\frac{2}{5}-\frac{1}{2}x=-\frac{1}{3}\)

\(\Leftrightarrow\frac{2}{3}x-\frac{1}{2}x-\frac{2}{5}=-\frac{1}{3}\)

\(\Leftrightarrow\frac{1}{6}x-\frac{2}{5}=-\frac{1}{3}\)

\(\Leftrightarrow\frac{1}{6}x=\frac{1}{15}\)

\(\Leftrightarrow x=\frac{1}{15}:\frac{1}{6}=\frac{1}{15}\cdot6=\frac{6}{15}=\frac{2}{5}\)

\(c,\frac{1}{3}x+\frac{2}{5}(x+1)=0\)

\(\Leftrightarrow\frac{1}{3}x+\frac{2}{5}x+\frac{2}{5}=0\)

\(\Leftrightarrow\frac{11}{15}x=-\frac{2}{5}\)

\(\Leftrightarrow x=-\frac{6}{11}\)

d,e,f Tương tự

a; \(\dfrac{1}{2}x\) + \(\dfrac{5}{2}\) = \(\dfrac{7}{2}\)\(x\) - \(\dfrac{3}{4}\)

     \(\dfrac{3}{4}\) + \(\dfrac{5}{2}\) = \(\dfrac{7}{2}\)\(x\) - \(\dfrac{1}{2}\)\(x\) 

    \(\dfrac{3}{4}\) + \(\dfrac{10}{4}\) = 3\(x\)

    3\(x\)          = \(\dfrac{13}{4}\)

     \(x\)          = \(\dfrac{13}{4}\) : 3

     \(x=\dfrac{13}{12}\) 

Vậy \(x=\dfrac{13}{12}\)

a) 6x(3x +5)-2x(9x-2)=17

6x3x+6x5-2x9x-2x(-2)=17

\(18x^2\)+30x-\(18x^2\)+4x=17

\(18x^2-18x^2\)+ 34x=17

0 +34x=17

x=17:34

x=0.5

b)2x(3x-1)-3x(2x+11)-70=0

2x3x-2x1-3x2x+3x11-70=0

\(6x^2-2x-6x^2+33x-70=0\)

-2x+33x-70=0

31x-70=0

31x=0+70

31x=70

x=\(\frac{70}{31}\)

(trong câu c dấu . của mình là nhân nha)

c)5x(2x-3)-4(8-3x)=2(3+5x)

5x2x-5x3-4.8+4.3x=2.3+2.5x

\(10x^2-15x-32+12x=6+10x\)

\(10x^2-15x+12x-10x=6+32\)

\(10x^2-13x=38\)

tạm thời mình bí chổ này thông cảm nha bạn

Mấy bài này căng vậy?

a)4(18 - 5x) - 12(3x - 7) = 15(2x - 16) - 6(x + 14)

<=>72 - 20x - 36x +84 = 30x - 240 - 6x 84

<=> -80x = -480

<=> x = 6

b) 5(3x+5)-4(2x-3) =5x+3(2x+12)+1

<=> 15x + 25  - 8x + 12 = 5x + 6x + 36 + 1

<=> 15x + 25 - 8x + 12 - 5x - 6x - 36 - 1 = 0

<=> -4x = 0

<=> x = 0

c) 2(5x-8)-3(4x-5)=4(3x-4)+11

= 10x - 16 - 12x + 15 = 12x - 16 + 11

= -14x = -4

= x =\(\frac{2}{7}\)

d) 5x-3{4x-2[4x-3(5x-2)]}=182

= 5x - 3 . [4x - 2(4x - 15x + 6)]

= 5x - 3 . (4x - 8x + 30x - 12)

= 5x - 12x + 24x - 90x + 36

= -73x + 36 = 182

=> -73x = 182 - 36 = 146

=> x = 146 : (-73) = -2

~Hok tốt~

a)4(18 - 5x) - 12(3x - 7) = 15(2x - 16) - 6(x + 14)

<=>72 - 20x - 36x +84 = 30x - 240 - 6x 84

<=> -80x = -480

<=> x = 6

b) 5(3x+5)-4(2x-3) =5x+3(2x+12)+1

<=> 15x + 25  - 8x + 12 = 5x + 6x + 36 + 1

<=> 15x + 25 - 8x + 12 - 5x - 6x - 36 - 1 = 0

<=> -4x = 0

<=> x = 0

c) 2(5x-8)-3(4x-5)=4(3x-4)+11

= 10x - 16 - 12x + 15 = 12x - 16 + 11

= -14x = -4

= x = 2/7

d) 5x-3{4x-2[4x-3(5x-2)]}=182

= 5x - 3 . [4x - 2(4x - 15x + 6)]

= 5x - 3 . (4x - 8x + 30x - 12)

= 5x - 12x + 24x - 90x + 36

= -73x + 36 = 182

=> -73x = 182 - 36 = 146

=> x = 146 : (-73) = -2

\(\left(x+2\right)-2=0\)

\(\Rightarrow x+2-2=0\)

\(\Rightarrow x=0\)

\(\left(x+3\right)+1=7\)

\(\Rightarrow x+3+1=7\)

\(\Rightarrow x+4=7\)

\(\Rightarrow x=3\)

\(\left(3x-4\right)+4=12\)
\(\Rightarrow3x-4+4=12\)

\(\Rightarrow3x=12\)

\(\Rightarrow x=4\)

\(\left(5x+4\right)-1=13\)

\(\Rightarrow5x+4-1=13\)

\(\Rightarrow5x+3=13\)

\(\Rightarrow5x=10\)

\(\Rightarrow x=2\)

\(\left(4x-8\right)-3=5\)

\(\Rightarrow4x-8-3=5\)

\(\Rightarrow4x-11=5\)

\(\Rightarrow4x=16\)

\(\Rightarrow x=4\)

\(8-\left(2x+4\right)=2\)

\(\Rightarrow8-2x-4=2\)

\(\Rightarrow4-2x=2\)

\(\Rightarrow2x=2\)

\(\Rightarrow x=1\)

\(7+\left(5x+2\right)=14\)

\(\Rightarrow7+5x+2=14\)

\(\Rightarrow9+5x=14\)

\(\Rightarrow5x=5\)

\(\Rightarrow x=1\)

\(5-\left(3x-11\right)=1\)

\(\Rightarrow5-3x+11=1\)

\(\Rightarrow16-3x=1\)

\(\Rightarrow3x=15\)

\(\Rightarrow x=5\)